Mechanical Engineering > GATE 2015 SET-1 > Gear Trains
A pinion with radius r1, and inertia I1 is driving a gear with radius r2 and inertia I2. Torque τ1 is applied on pinion. The following are free body diagrams of pinion and gear showing important forces (F1 and F2) of interaction. Which of the following relations hold true?
A
F1 ≠ F2; τ1 = I1θ̈1; F2 = I2(r1/r22)θ̈1
B
F1 = F2; τ1 = [I1 + I2(r1/r2)2]θ̈1; F2 = I2(r1/r22)θ̈1
C
F1 = F2; τ1 = I1θ̈1; F2 = I2(1/r2)θ̈2
D
F1 ≠ F2; τ1 = [I1 + I2(r1/r2)2]θ̈1; F2 = I2(1/r2)θ̈2

Correct : b

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